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Title: | On the Diophantine Equation x(2) 5(a) . 11(b) = y(n) |
Authors: | Tzanakis, Nikos Soydan, Gökhan Kaczorowski, J. Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü. 0000-0002-0700-5774 Cangül, İsmail Naci Demirci, Musa J-3505-2017 57189022403 23566581100 |
Keywords: | Exponential diophantine equation S-integral points of an elliptic curve Thue-Mahler equation Lucas sequence Linear form in logarithms of algebraic numbers Power values Forms Mathematics |
Issue Date: | 2010 |
Publisher: | Wydawnictwo Naukowe |
Citation: | Cangül, İ. N. vd. (2010). "On The Diophantine Equation x(2) 5(a) . 11(b) = y(n)". ed. J. Kaczorowski. Functiones et Approximatio: Commentarii Mathematici, 43, Part 2, 209-225. |
Abstract: | We give the complete solution (n, a, b, x, y) of the title equation when gcd(x,y) = 1, except for the case when xab is odd. Our main result is Theorem 1. |
URI: | https://projecteuclid.org/journals/functiones-et-approximatio-commentarii-mathematici/volume-43/issue-2/On-the-diophantine-equation-x25acdot-11byn/10.7169/facm/1291903397.full http://hdl.handle.net/11452/25901 |
Appears in Collections: | Scopus Web of Science |
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Cangül_vd_2010.pdf | 546.83 kB | Adobe PDF | View/Open |
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